\(\text { The set of all values of } t \in R \text {, for which the matrix }\)\(\left[\begin{array}{ccc}e^t & e^{-t}(\si…

\(\text { The set of all values of } t \in R \text {, for which the matrix }\)\(\left[\begin{array}{ccc}e^t & e^{-t}(\sin t-2 \cos t) & e^{-t}(-2 \sin t-\cos t) \\e^t & e^{-t}(2 \sin t+\cos t) & e^{-t}(\sin t-2 \cos t) \\e^t & e^{-t} \cos t & e^{-t} \sin t\end{array}\right]\)\(\text { Invertible, is }\)

[JEE Main 2023, 29 Jan (Shift 2)]